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Finding the Third Proportional to 254,870 and 554,042

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Solution

The third proportional to 254,870 and 554,042 is: 1,204,388.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,870 : 554,042 = 554,042 : x
  2. Step 2: Convert to fraction form
    254,870/554,042 = 554,042/x
  3. Step 3: Cross multiply
    254,870x = 554,042 × 554,042
  4. Step 4: Simplify right side
    254,870x = 306,962,537,764
  5. Step 5: Solve for x
    x = 306,962,537,764/254,870
  6. Step 6: Final answer
    x = 1,204,388.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.